Arithmetic Sequence – Determine Terms and Common Difference – ++ Prep

Arithmetic Sequence – Determine Terms and Common Difference

00:00 4 marks

1. [Maximum mark: 4]

The first three terms of an arithmetic sequence are \(u_1\), 5, 9.

(a) Find the common difference, \(d\).
(b) Find \(u_1\).
(c) Find the value of \(u_{10}\).

Part a

1 minutes 1 marks

Question

Find the common difference, \(d\).

Hint Hint

Hint

Subtract the second term from the third term.

Answer Answer
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Explanation Explanation

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Complete Answer

d = 4

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Part b

1 minutes 1 marks

Question

Find \(u_1\).

Hint Hint

Hint

Use the formula \(u_2 = u_1 + d\) with the known value of \(u_2\) and d.

Answer Answer
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Complete Answer

u₁ = 1

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Part c

2 minutes 2 marks

Question

Find \(u_{10}\).

Hint Hint

Hint

Apply the formula \(u_n = u_1 + (n-1)d\) with n = 10.

Answer Answer
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Explanation Explanation

Answer Answer

Complete Answer

u₁₀ = 37

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